Organized by: Stefan Hollands, Vaughan Jones, Gandalf Lechner, Roberto Longo Since Heisenberg’s and Jordan’s “matrix formulation” of quantum mechanics about one hundred years ago, theoretical quantum physics has been a major incentive for mathematical research into operator algebras. The stimulus from physics has helped the development of this field, founded by von Neumann with the … Read more
Organized by Lara Anderson and Laura Schaposnikco-organizers: Sheldon Katz and Joerg Teschner. The school is aimed at graduate students and young postdocs, and will expose participants to some current research topics on the geometry and physics of Higgs bundles. The workshop will have several mini-courses by experts on topics close to their own research, including a … Read more
Organized by Lara Anderson and Laura Schaposnik Co-organized by Rafe Mazzeo and Tony Pantev The workshop will be devoted to recent exciting developments related to Higgs bundles and the Hitchin fibration, and string theory. The purpose of the workshop is to bring key leading researchers of related fields together with young researchers to establish new directions and … Read more
Organized by Terry Gannon, David Ginzburg, Axel Kleinschmidt, Stephen D. Miller, Daniel Persson, Boris Pioline The purpose of this interdisciplinary workshop is to investigate connections between string theory, automorphic forms, mock modular forms, and beyond.Automorphic representations are part of the basic language of the Langlands program, while at the same time playing … Read more
Organized by Sergei Gukov, Tomoyuki Arakawa, Boris Feigin, Alba Grassi, Hiraku Nakajima, Nikita Nekrasov, Andrei Okounkov Vertex operator algebras have a long history of interaction with physics by describing two-dimensional systems at criticality. More recently, they appeared, via BPS/CFT correspondence, in the context of higher-dimensional gauge theories and associated brane constructions in string theory. For … Read more
Organized by Lara Anderson and Laura Schaposnik Hitchin systems have found remarkable applications in many different areas of mathematics and physics. In particular, Hausel and Thaddeus related Higgs bundles to mirror symmetry, and in the work of Kapustin and Witten, Higgs bundles were used to give a physical derivation of the geometric Langlands correspondence. Moreover, … Read more
This Workshop is the eleventh conducted by the Simons Center for Geometry and Physics at Stony Brook and the Sixteenth in the series Simons Summer Workshops. One of the predictions of string theory is that certain apparently consistent quantum field theories cannot be consistently coupled to quantum gravity—they do not arise from consistent string … Read more
Organized by Daniel Persson, Terry Gannon, David Ginzburg, Axel Kleinschmidt, Stephen D. Miller, Boris Pioline The purpose of this interdisciplinary program is to investigate connections between string theory, automorphic forms, mock modular forms and beyond. Automorphic representations form a cornerstone of the Langlands program, while at the same time playing a crucial role in understanding the … Read more
Organized by Manuela Kulaxizi and Maxim Zabzine Subject of the workshop: Supersymmetry and geometry are tied together in many remarkable ways. Over last 40 years these two fields have influenced each other enormously. Many new interesting geometrical constructions were motivated by the supersymmetry considerations, e.g. the hyperKahler quotiens, generalized Kahler geometry, generalized geometry, T-duality and … Read more
Organized by Israel Klich, Bruno Nachetergaele and Vladimir Korepin December 10-14, 2018. The workshop presents a modern point of view to dynamical systems. It brings together experts in solid state physics, statistical mechanics, quantum field theory, quantum computation, error correcting codes, machine learning, mathematical physics and quantum optics. New exactly solvable spin chains, which came … Read more
